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a64e07d0
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Leszek Koltunski
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2020 Leszek Koltunski //
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// //
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// This file is part of Magic Cube. //
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// //
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// Magic Cube is free software: you can redistribute it and/or modify //
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// it under the terms of the GNU General Public License as published by //
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// the Free Software Foundation, either version 2 of the License, or //
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// (at your option) any later version. //
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// //
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// Magic Cube is distributed in the hope that it will be useful, //
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// but WITHOUT ANY WARRANTY; without even the implied warranty of //
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the //
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// GNU General Public License for more details. //
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// //
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// You should have received a copy of the GNU General Public License //
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// along with Magic Cube. If not, see <http://www.gnu.org/licenses/>. //
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///////////////////////////////////////////////////////////////////////////////////////////////////
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package org.distorted.objects;
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import android.content.res.Resources;
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import android.graphics.Canvas;
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import android.graphics.Paint;
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import org.distorted.library.effect.MatrixEffectQuaternion;
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import org.distorted.library.main.DistortedEffects;
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import org.distorted.library.main.DistortedTexture;
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import org.distorted.library.mesh.MeshBase;
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import org.distorted.library.mesh.MeshSquare;
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import org.distorted.library.type.Static3D;
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import org.distorted.library.type.Static4D;
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import org.distorted.main.R;
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import org.distorted.main.RubikSurfaceView;
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3d8237cc
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Leszek Koltunski
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import static org.distorted.objects.FactoryCubit.COS18;
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ede1b68c
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Leszek Koltunski
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import static org.distorted.objects.FactoryCubit.COS54;
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3d8237cc
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Leszek Koltunski
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import static org.distorted.objects.FactoryCubit.SIN18;
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ede1b68c
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Leszek Koltunski
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import static org.distorted.objects.FactoryCubit.SIN54;
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3d8237cc
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Leszek Koltunski
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a64e07d0
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Leszek Koltunski
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TwistyMegaminx extends TwistyMinx
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{
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e4bf4d02
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static final float MEGA_D = 0.04f;
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private static final int NUM_CORNERS = 20;
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private static final int NUM_CENTERS = 12;
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private static final int NUM_EDGES = 30;
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d38f1397
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// the five vertices that form a given face. Order: the same as colors
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// of the faces in TwistyMinx.
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private static final int[][] mCenterMap =
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{
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{ 0, 12, 4, 14, 2},
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{ 0, 2, 18, 6, 16},
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{ 6, 18, 11, 19, 7},
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{ 3, 15, 9, 11, 19},
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{ 4, 5, 15, 9, 14},
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{ 1, 13, 5, 15, 3},
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{ 1, 3, 19, 7, 17},
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{10, 16, 6, 7, 17},
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{ 0, 12, 8, 10, 16},
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{ 8, 13, 5, 4, 12},
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{ 1, 13, 8, 10, 17},
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{ 2, 14, 9, 11, 18},
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};
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d38f1397
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// the quadruple ( vertex1, vertex2, face1, face2 ) defining an edge.
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// In fact the 2 vertices already define it, the faces only provide easy
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// way to get to know the colors. Order: arbitrary. Face1 arbitrarily on
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// the 'left' or right of vector vertex1 --> vertex2, according to Quat.
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private static final int[][] mEdgeMap =
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{
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{ 0, 12, 0, 8},
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{ 12, 4, 0, 9},
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{ 4, 14, 0, 4},
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{ 14, 2, 0, 11},
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{ 2, 0, 0, 1},
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{ 14, 9, 4, 11},
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{ 9, 11, 3, 11},
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{ 11, 18, 2, 11},
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{ 18, 2, 1, 11},
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{ 18, 6, 1, 2},
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{ 6, 16, 1, 7},
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{ 16, 0, 8, 1},
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{ 16, 10, 7, 8},
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{ 10, 8, 10, 8},
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{ 8, 12, 9, 8},
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{ 8, 13, 9, 10},
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{ 13, 5, 9, 5},
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{ 5, 4, 9, 4},
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{ 5, 15, 5, 4},
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{ 15, 9, 3, 4},
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{ 11, 19, 2, 3},
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{ 19, 7, 2, 6},
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{ 7, 6, 2, 7},
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{ 7, 17, 7, 6},
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{ 17, 10, 7, 10},
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3d8237cc
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{ 17, 1, 10, 6},
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{ 1, 3, 5, 6},
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{ 3, 19, 3, 6},
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{ 1, 13, 10, 5},
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{ 3, 15, 3, 5},
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};
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private static final int[] QUAT_EDGE_INDICES =
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{
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56, 40, 43, 59, 0, 55, 10, 17, 25, 49,
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48, 57, 18, 7, 53, 32, 20, 11, 31, 38,
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37, 30, 8, 28, 36, 44, 1, 46, 12, 14
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};
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private static final int[] QUAT_CENTER_INDICES =
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{
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16, 18, 22, 1, 20, 13, 14, 15, 0, 12, 2, 3
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};
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d38f1397
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Leszek Koltunski
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private static final float[][] mCenterCoords = new float[NUM_CENTERS][3];
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static
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{
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d38f1397
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Leszek Koltunski
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for(int center=0; center<NUM_CENTERS; center++)
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{
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int[] map = mCenterMap[center];
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float x = CORNERS[map[0]].get0() +
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CORNERS[map[1]].get0() +
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CORNERS[map[2]].get0() +
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CORNERS[map[3]].get0() +
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CORNERS[map[4]].get0() ;
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float y = CORNERS[map[0]].get1() +
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CORNERS[map[1]].get1() +
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CORNERS[map[2]].get1() +
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CORNERS[map[3]].get1() +
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CORNERS[map[4]].get1() ;
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float z = CORNERS[map[0]].get2() +
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CORNERS[map[1]].get2() +
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CORNERS[map[2]].get2() +
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CORNERS[map[3]].get2() +
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CORNERS[map[4]].get2() ;
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mCenterCoords[center][0] = x/5;
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mCenterCoords[center][1] = y/5;
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mCenterCoords[center][2] = z/5;
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}
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}
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private static MeshBase[] mCenterMeshes, mCornerMeshes;
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private static MeshBase[][] mEdgeMeshes;
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private static final Static4D[] mBasicCornerV, mCurrCornerV;
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Leszek Koltunski
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static
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{
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mBasicCornerV = new Static4D[3];
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mCurrCornerV = new Static4D[3];
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mBasicCornerV[0] = new Static4D( (SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f );
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mBasicCornerV[1] = new Static4D(-(SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f );
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mBasicCornerV[2] = new Static4D( 0, -0.500f, 0.0f, 0.0f );
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Leszek Koltunski
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};
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///////////////////////////////////////////////////////////////////////////////////////////////////
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TwistyMegaminx(int size, Static4D quat, DistortedTexture texture, MeshSquare mesh,
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DistortedEffects effects, int[][] moves, Resources res, int scrWidth)
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{
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super(size, size, quat, texture, mesh, effects, moves, ObjectList.MEGA, res, scrWidth);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int numCubitsPerCorner(int numLayers)
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{
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return 3*((numLayers-1)/2)*((numLayers-3)/2) + 1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int numCubitsPerEdge(int numLayers)
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{
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return numLayers-2;
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}
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ab210d63
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Leszek Koltunski
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float getScreenRatio()
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{
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return 1.07f;
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}
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a64e07d0
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Leszek Koltunski
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getNumStickerTypes(int numLayers)
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{
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e4bf4d02
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Leszek Koltunski
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return (numLayers+3)/2;
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a64e07d0
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Leszek Koltunski
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[] getCuts(int numLayers)
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{
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float[] cuts = new float[numLayers-1];
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ede1b68c
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Leszek Koltunski
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float D = numLayers*MovementMinx.DIST3D;
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a64e07d0
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Leszek Koltunski
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float E = 2*C1; // 2*cos(36 deg)
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float X = 2*D*E/(1+2*E); // height of the 'upper' part of a dodecahedron, i.e. put it on a table,
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ede1b68c
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Leszek Koltunski
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// its height is then D*2*DIST3D, it has one 'lower' part of height X, one
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a64e07d0
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Leszek Koltunski
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// 'middle' part of height Y and one upper part of height X again.
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// It's edge length = numLayers/3.0f.
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int num = (numLayers-1)/2;
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float G = X*(0.5f-MEGA_D)/num; // height of one Layer
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for(int i=0; i<num; i++)
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{
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ede1b68c
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Leszek Koltunski
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cuts[ i] = -D + (i+0.5f)*G;
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a64e07d0
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cuts[2*num-1-i] = -cuts[i];
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}
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return cuts;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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e4bf4d02
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Leszek Koltunski
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private void computeCenter(Static3D pos, int center, int numLayers)
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Leszek Koltunski
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{
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d38f1397
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float[] coords = mCenterCoords[center];
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Leszek Koltunski
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float A = numLayers/3.0f;
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pos.set( A*coords[0], A*coords[1], A*coords[2] );
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Leszek Koltunski
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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d38f1397
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Leszek Koltunski
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// Fill out mCurrCorner{X,Y,Z} by applying appropriate Quat to mBasicCorner{X,Y,Z}
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// Appropriate one: QUATS[QUAT_INDICES[corner]].
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private void computeBasicCornerVectors(int corner)
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{
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Static4D quat = QUATS[QUAT_CORNER_INDICES[corner]];
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d38f1397
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mCurrCornerV[0] = RubikSurfaceView.rotateVectorByQuat(mBasicCornerV[0],quat);
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mCurrCornerV[1] = RubikSurfaceView.rotateVectorByQuat(mBasicCornerV[1],quat);
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mCurrCornerV[2] = RubikSurfaceView.rotateVectorByQuat(mBasicCornerV[2],quat);
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a64e07d0
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Leszek Koltunski
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void computeCorner(Static3D pos, int numCubitsPerCorner, int numLayers, int corner, int part)
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{
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float D = numLayers/3.0f;
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Static3D corn = CORNERS[corner];
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if( part==0 )
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{
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pos.set( corn.get0()*D, corn.get1()*D, corn.get2()*D );
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}
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else
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{
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3d8237cc
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Leszek Koltunski
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float E = 2.0f*(numLayers/3.0f)*(0.5f-MEGA_D)/(0.5f*(numLayers-1));
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a64e07d0
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Leszek Koltunski
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int N = (numCubitsPerCorner-1)/3;
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6e7146df
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Leszek Koltunski
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int block = (part-1) % N;
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int index = (part-1) / N;
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d38f1397
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Leszek Koltunski
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Static4D pri = mCurrCornerV[index];
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Static4D sec = mCurrCornerV[(index+2)%3];
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int multP = (block % ((numLayers-3)/2)) + 1;
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int multS = (block / ((numLayers-3)/2));
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Leszek Koltunski
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pos.set( corn.get0()*D + (pri.get0()*multP + sec.get0()*multS)*E,
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corn.get1()*D + (pri.get1()*multP + sec.get1()*multS)*E,
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corn.get2()*D + (pri.get2()*multP + sec.get2()*multS)*E );
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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d38f1397
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private int computeEdgeType(int cubit, int numCubitsPerCorner, int numCubitsPerEdge)
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| 281 |
a64e07d0
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{
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| 282 |
d38f1397
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int part = (cubit - NUM_CORNERS*numCubitsPerCorner) % numCubitsPerEdge;
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return (part+1)/2;
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|
}
|
| 285 |
a64e07d0
|
Leszek Koltunski
|
|
| 286 |
d38f1397
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 287 |
|
|
|
| 288 |
|
|
private void computeEdge(Static3D pos, int numLayers, int edge, int part)
|
| 289 |
|
|
{
|
| 290 |
3d8237cc
|
Leszek Koltunski
|
float corr = numLayers/3.0f;
|
| 291 |
|
|
|
| 292 |
d38f1397
|
Leszek Koltunski
|
Static3D c1 = CORNERS[ mEdgeMap[edge][0] ];
|
| 293 |
|
|
Static3D c2 = CORNERS[ mEdgeMap[edge][1] ];
|
| 294 |
3d8237cc
|
Leszek Koltunski
|
float x = corr*(c1.get0() + c2.get0())/2;
|
| 295 |
|
|
float y = corr*(c1.get1() + c2.get1())/2;
|
| 296 |
|
|
float z = corr*(c1.get2() + c2.get2())/2;
|
| 297 |
d38f1397
|
Leszek Koltunski
|
|
| 298 |
|
|
if( part==0 )
|
| 299 |
|
|
{
|
| 300 |
|
|
pos.set(x,y,z);
|
| 301 |
|
|
}
|
| 302 |
|
|
else
|
| 303 |
|
|
{
|
| 304 |
|
|
int mult = (part+1)/2;
|
| 305 |
|
|
int dir = (part+1)%2;
|
| 306 |
|
|
float[] center = mCenterCoords[ mEdgeMap[edge][dir+2] ];
|
| 307 |
|
|
|
| 308 |
3d8237cc
|
Leszek Koltunski
|
float vX = corr*center[0] - x;
|
| 309 |
|
|
float vY = corr*center[1] - y;
|
| 310 |
|
|
float vZ = corr*center[2] - z;
|
| 311 |
d38f1397
|
Leszek Koltunski
|
|
| 312 |
3d8237cc
|
Leszek Koltunski
|
float len = (float)Math.sqrt(vX*vX+vY*vY+vZ*vZ);
|
| 313 |
|
|
float A = mult*corr*(0.5f-MEGA_D)*COS18/((numLayers-1)*0.5f)/len;
|
| 314 |
d38f1397
|
Leszek Koltunski
|
|
| 315 |
|
|
pos.set( x+A*vX, y+A*vY, z+A*vZ );
|
| 316 |
|
|
}
|
| 317 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 318 |
|
|
|
| 319 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 320 |
|
|
|
| 321 |
|
|
Static3D[] getCubitPositions(int numLayers)
|
| 322 |
|
|
{
|
| 323 |
|
|
int numCubitsPerCorner = numCubitsPerCorner(numLayers);
|
| 324 |
d38f1397
|
Leszek Koltunski
|
int numCubitsPerEdge = numCubitsPerEdge(numLayers);
|
| 325 |
e4bf4d02
|
Leszek Koltunski
|
int numCubits = NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge + NUM_CENTERS;
|
| 326 |
a64e07d0
|
Leszek Koltunski
|
int index=0;
|
| 327 |
|
|
|
| 328 |
|
|
final Static3D[] CENTERS = new Static3D[numCubits];
|
| 329 |
|
|
|
| 330 |
|
|
for(int corner=0; corner<NUM_CORNERS; corner++)
|
| 331 |
|
|
{
|
| 332 |
d38f1397
|
Leszek Koltunski
|
computeBasicCornerVectors(corner);
|
| 333 |
a64e07d0
|
Leszek Koltunski
|
|
| 334 |
|
|
for(int part=0; part<numCubitsPerCorner; part++, index++)
|
| 335 |
|
|
{
|
| 336 |
|
|
CENTERS[index] = new Static3D(0,0,0);
|
| 337 |
|
|
computeCorner(CENTERS[index],numCubitsPerCorner,numLayers,corner,part);
|
| 338 |
|
|
}
|
| 339 |
|
|
}
|
| 340 |
d38f1397
|
Leszek Koltunski
|
|
| 341 |
a64e07d0
|
Leszek Koltunski
|
for(int edge=0; edge<NUM_EDGES; edge++)
|
| 342 |
|
|
{
|
| 343 |
|
|
for(int part=0; part<numCubitsPerEdge; part++, index++)
|
| 344 |
|
|
{
|
| 345 |
d38f1397
|
Leszek Koltunski
|
CENTERS[index] = new Static3D(0,0,0);
|
| 346 |
|
|
computeEdge(CENTERS[index], numLayers, edge, part );
|
| 347 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 348 |
|
|
}
|
| 349 |
e4bf4d02
|
Leszek Koltunski
|
|
| 350 |
a64e07d0
|
Leszek Koltunski
|
for(int center=0; center<NUM_CENTERS; center++, index++)
|
| 351 |
|
|
{
|
| 352 |
e4bf4d02
|
Leszek Koltunski
|
CENTERS[index] = new Static3D(0,0,0);
|
| 353 |
|
|
computeCenter(CENTERS[index], center, numLayers);
|
| 354 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 355 |
e4bf4d02
|
Leszek Koltunski
|
|
| 356 |
a64e07d0
|
Leszek Koltunski
|
return CENTERS;
|
| 357 |
|
|
}
|
| 358 |
|
|
|
| 359 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 360 |
|
|
|
| 361 |
e4bf4d02
|
Leszek Koltunski
|
private int getQuat(int cubit, int numCubitsPerCorner, int numCubitsPerEdge)
|
| 362 |
a64e07d0
|
Leszek Koltunski
|
{
|
| 363 |
|
|
if( cubit < NUM_CORNERS*numCubitsPerCorner )
|
| 364 |
|
|
{
|
| 365 |
|
|
int corner = cubit/numCubitsPerCorner;
|
| 366 |
d38f1397
|
Leszek Koltunski
|
return QUAT_CORNER_INDICES[corner];
|
| 367 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 368 |
|
|
|
| 369 |
d38f1397
|
Leszek Koltunski
|
if( cubit < NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge )
|
| 370 |
|
|
{
|
| 371 |
|
|
int edge = (cubit-NUM_CORNERS*numCubitsPerCorner)/numCubitsPerEdge;
|
| 372 |
|
|
return QUAT_EDGE_INDICES[edge];
|
| 373 |
|
|
}
|
| 374 |
|
|
|
| 375 |
e4bf4d02
|
Leszek Koltunski
|
int center = cubit - NUM_CORNERS*numCubitsPerCorner - NUM_EDGES*numCubitsPerEdge;
|
| 376 |
|
|
return QUAT_CENTER_INDICES[center];
|
| 377 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 378 |
|
|
|
| 379 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 380 |
|
|
|
| 381 |
|
|
MeshBase createCubitMesh(int cubit, int numLayers)
|
| 382 |
|
|
{
|
| 383 |
|
|
int numCubitsPerCorner = numCubitsPerCorner(numLayers);
|
| 384 |
|
|
int numCubitsPerEdge = numCubitsPerEdge(numLayers);
|
| 385 |
28b54fe3
|
Leszek Koltunski
|
int index = (numLayers-3)/2;
|
| 386 |
db608887
|
Leszek Koltunski
|
int[] sizes = ObjectList.MEGA.getSizes();
|
| 387 |
|
|
int variants = sizes.length;
|
| 388 |
a64e07d0
|
Leszek Koltunski
|
MeshBase mesh;
|
| 389 |
|
|
|
| 390 |
d38f1397
|
Leszek Koltunski
|
if( mCornerMeshes==null ) mCornerMeshes = new MeshBase[variants];
|
| 391 |
db608887
|
Leszek Koltunski
|
if( mEdgeMeshes ==null ) mEdgeMeshes = new MeshBase[variants][(sizes[variants-1]-1)/2];
|
| 392 |
e4bf4d02
|
Leszek Koltunski
|
if( mCenterMeshes==null ) mCenterMeshes = new MeshBase[variants];
|
| 393 |
28b54fe3
|
Leszek Koltunski
|
|
| 394 |
d38f1397
|
Leszek Koltunski
|
if( cubit < NUM_CORNERS*numCubitsPerCorner )
|
| 395 |
a64e07d0
|
Leszek Koltunski
|
{
|
| 396 |
d38f1397
|
Leszek Koltunski
|
if( mCornerMeshes[index]==null )
|
| 397 |
|
|
{
|
| 398 |
|
|
mCornerMeshes[index] = FactoryCubit.getInstance().createMegaminxCornerMesh(numLayers);
|
| 399 |
|
|
}
|
| 400 |
28b54fe3
|
Leszek Koltunski
|
mesh = mCornerMeshes[index].copy(true);
|
| 401 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 402 |
e4bf4d02
|
Leszek Koltunski
|
else if( cubit<NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge )
|
| 403 |
a64e07d0
|
Leszek Koltunski
|
{
|
| 404 |
d38f1397
|
Leszek Koltunski
|
int type = computeEdgeType(cubit,numCubitsPerCorner,numCubitsPerEdge);
|
| 405 |
|
|
|
| 406 |
|
|
if( mEdgeMeshes[index][type]==null )
|
| 407 |
|
|
{
|
| 408 |
3d8237cc
|
Leszek Koltunski
|
float height= (numLayers/3.0f)*(0.5f-MEGA_D)*COS18/((numLayers-1)*0.5f);
|
| 409 |
|
|
float width = (numLayers/3.0f)*2*MEGA_D + 2*type*height*SIN18/COS18;
|
| 410 |
|
|
|
| 411 |
61b217a5
|
Leszek Koltunski
|
mEdgeMeshes[index][type] = FactoryCubit.getInstance().createMegaminxEdgeMesh(numLayers,width,height);
|
| 412 |
d38f1397
|
Leszek Koltunski
|
}
|
| 413 |
|
|
|
| 414 |
|
|
mesh = mEdgeMeshes[index][type].copy(true);
|
| 415 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 416 |
|
|
else
|
| 417 |
|
|
{
|
| 418 |
e4bf4d02
|
Leszek Koltunski
|
if( mCenterMeshes[index]==null )
|
| 419 |
|
|
{
|
| 420 |
|
|
float width = 2 * (numLayers/3.0f) * (MEGA_D+(0.5f-MEGA_D)*SIN18);
|
| 421 |
61b217a5
|
Leszek Koltunski
|
mCenterMeshes[index] = FactoryCubit.getInstance().createMegaminxCenterMesh(numLayers,width);
|
| 422 |
e4bf4d02
|
Leszek Koltunski
|
}
|
| 423 |
|
|
|
| 424 |
|
|
mesh = mCenterMeshes[index].copy(true);
|
| 425 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 426 |
e4bf4d02
|
Leszek Koltunski
|
|
| 427 |
|
|
Static4D q = QUATS[getQuat(cubit,numCubitsPerCorner,numCubitsPerEdge)];
|
| 428 |
3d8237cc
|
Leszek Koltunski
|
MatrixEffectQuaternion quat = new MatrixEffectQuaternion( q, new Static3D(0,0,0) );
|
| 429 |
a64e07d0
|
Leszek Koltunski
|
mesh.apply(quat,0xffffffff,0);
|
| 430 |
|
|
|
| 431 |
|
|
return mesh;
|
| 432 |
|
|
}
|
| 433 |
|
|
|
| 434 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 435 |
|
|
|
| 436 |
d38f1397
|
Leszek Koltunski
|
int getCornerColor(int cubit, int cubitface, int numLayers, int numCubitsPerCorner)
|
| 437 |
a64e07d0
|
Leszek Koltunski
|
{
|
| 438 |
0e7a13b4
|
Leszek Koltunski
|
if( cubitface<0 || cubitface>2 ) return NUM_TEXTURES;
|
| 439 |
6e7146df
|
Leszek Koltunski
|
|
| 440 |
|
|
int part = cubit % numCubitsPerCorner;
|
| 441 |
a64e07d0
|
Leszek Koltunski
|
int corner= cubit / numCubitsPerCorner;
|
| 442 |
|
|
|
| 443 |
6e7146df
|
Leszek Koltunski
|
if( part==0 )
|
| 444 |
a64e07d0
|
Leszek Koltunski
|
{
|
| 445 |
6e7146df
|
Leszek Koltunski
|
return mCornerFaceMap[corner][cubitface];
|
| 446 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 447 |
|
|
else
|
| 448 |
|
|
{
|
| 449 |
|
|
int N = (numCubitsPerCorner-1)/3;
|
| 450 |
6e7146df
|
Leszek Koltunski
|
int block = (part-1) % N;
|
| 451 |
|
|
int index = (part-1) / N;
|
| 452 |
a64e07d0
|
Leszek Koltunski
|
|
| 453 |
0e7a13b4
|
Leszek Koltunski
|
if( block< (numLayers-3)/2 )
|
| 454 |
a64e07d0
|
Leszek Koltunski
|
{
|
| 455 |
6e7146df
|
Leszek Koltunski
|
switch(index)
|
| 456 |
|
|
{
|
| 457 |
0e7a13b4
|
Leszek Koltunski
|
case 0: return cubitface==1 ? NUM_TEXTURES : mCornerFaceMap[corner][cubitface];
|
| 458 |
|
|
case 1: return cubitface==0 ? NUM_TEXTURES : mCornerFaceMap[corner][cubitface];
|
| 459 |
|
|
case 2: return cubitface==2 ? NUM_TEXTURES : mCornerFaceMap[corner][cubitface];
|
| 460 |
6e7146df
|
Leszek Koltunski
|
}
|
| 461 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 462 |
|
|
else
|
| 463 |
|
|
{
|
| 464 |
6e7146df
|
Leszek Koltunski
|
switch(index)
|
| 465 |
|
|
{
|
| 466 |
0e7a13b4
|
Leszek Koltunski
|
case 0: return cubitface==0 ? mCornerFaceMap[corner][cubitface] : NUM_TEXTURES;
|
| 467 |
|
|
case 1: return cubitface==2 ? mCornerFaceMap[corner][cubitface] : NUM_TEXTURES;
|
| 468 |
|
|
case 2: return cubitface==1 ? mCornerFaceMap[corner][cubitface] : NUM_TEXTURES;
|
| 469 |
6e7146df
|
Leszek Koltunski
|
}
|
| 470 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 471 |
|
|
}
|
| 472 |
6e7146df
|
Leszek Koltunski
|
|
| 473 |
0e7a13b4
|
Leszek Koltunski
|
return NUM_TEXTURES;
|
| 474 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 475 |
|
|
|
| 476 |
d38f1397
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 477 |
|
|
|
| 478 |
e4bf4d02
|
Leszek Koltunski
|
int getEdgeColor(int edge, int cubitface, int numCubitsPerEdge)
|
| 479 |
d38f1397
|
Leszek Koltunski
|
{
|
| 480 |
0e7a13b4
|
Leszek Koltunski
|
if( cubitface<0 || cubitface>1 ) return NUM_TEXTURES;
|
| 481 |
d38f1397
|
Leszek Koltunski
|
|
| 482 |
e4bf4d02
|
Leszek Koltunski
|
int part = edge % numCubitsPerEdge;
|
| 483 |
|
|
int variant = edge / numCubitsPerEdge;
|
| 484 |
d38f1397
|
Leszek Koltunski
|
|
| 485 |
51df47f3
|
Leszek Koltunski
|
return (part==0 || cubitface==((part+1)%2)) ? mEdgeMap[variant][cubitface+2] + ((part+3)/2)*NUM_FACES : NUM_TEXTURES;
|
| 486 |
d38f1397
|
Leszek Koltunski
|
}
|
| 487 |
|
|
|
| 488 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 489 |
|
|
|
| 490 |
e4bf4d02
|
Leszek Koltunski
|
int getCenterColor(int center, int cubitface, int numLayers)
|
| 491 |
d38f1397
|
Leszek Koltunski
|
{
|
| 492 |
e4bf4d02
|
Leszek Koltunski
|
return cubitface>0 ? NUM_TEXTURES : center + NUM_FACES*(numLayers+1)/2;
|
| 493 |
d38f1397
|
Leszek Koltunski
|
}
|
| 494 |
|
|
|
| 495 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 496 |
|
|
|
| 497 |
|
|
int getFaceColor(int cubit, int cubitface, int numLayers)
|
| 498 |
|
|
{
|
| 499 |
|
|
int numCubitsPerCorner = numCubitsPerCorner(numLayers);
|
| 500 |
|
|
int numCubitsPerEdge = numCubitsPerEdge(numLayers);
|
| 501 |
|
|
|
| 502 |
|
|
if( cubit < NUM_CORNERS*numCubitsPerCorner )
|
| 503 |
|
|
{
|
| 504 |
|
|
return getCornerColor(cubit,cubitface,numLayers,numCubitsPerCorner);
|
| 505 |
|
|
}
|
| 506 |
|
|
else if( cubit<NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge )
|
| 507 |
|
|
{
|
| 508 |
e4bf4d02
|
Leszek Koltunski
|
int edge = cubit - NUM_CORNERS*numCubitsPerCorner;
|
| 509 |
|
|
return getEdgeColor(edge,cubitface,numCubitsPerEdge);
|
| 510 |
d38f1397
|
Leszek Koltunski
|
}
|
| 511 |
|
|
else
|
| 512 |
|
|
{
|
| 513 |
e4bf4d02
|
Leszek Koltunski
|
int center = cubit-NUM_CORNERS*numCubitsPerCorner-NUM_EDGES*numCubitsPerEdge;
|
| 514 |
|
|
return getCenterColor( center, cubitface, numLayers);
|
| 515 |
d38f1397
|
Leszek Koltunski
|
}
|
| 516 |
|
|
}
|
| 517 |
|
|
|
| 518 |
a64e07d0
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 519 |
|
|
|
| 520 |
|
|
void createFaceTexture(Canvas canvas, Paint paint, int face, int left, int top)
|
| 521 |
|
|
{
|
| 522 |
ede1b68c
|
Leszek Koltunski
|
int COLORS = FACE_COLORS.length;
|
| 523 |
|
|
float R,S;
|
| 524 |
|
|
float[] vertices;
|
| 525 |
|
|
|
| 526 |
|
|
int variant = face/COLORS;
|
| 527 |
|
|
|
| 528 |
|
|
if( variant==0 )
|
| 529 |
|
|
{
|
| 530 |
|
|
float Y = COS54/(2*SIN54);
|
| 531 |
329d21a5
|
Leszek Koltunski
|
R = 0.070f;
|
| 532 |
673d7b24
|
Leszek Koltunski
|
S = 0.08f;
|
| 533 |
ede1b68c
|
Leszek Koltunski
|
vertices = new float[] { -0.5f, 0.0f, 0.0f, -Y, 0.5f, 0.0f, 0.0f, Y };
|
| 534 |
|
|
}
|
| 535 |
|
|
else
|
| 536 |
|
|
{
|
| 537 |
|
|
int numLayers = getNumLayers();
|
| 538 |
|
|
float height= (numLayers/3.0f)*(0.5f-MEGA_D)*COS18/((numLayers-1)*0.5f);
|
| 539 |
|
|
float W = height*SIN18/COS18;
|
| 540 |
|
|
float width = (numLayers/3.0f)*2*MEGA_D + 2*(variant-1)*W;
|
| 541 |
|
|
|
| 542 |
|
|
if( variant < (numLayers+1)/2 )
|
| 543 |
|
|
{
|
| 544 |
|
|
float X1 = 0.5f*height;
|
| 545 |
|
|
float Y1 = 0.5f*width;
|
| 546 |
|
|
float Y2 = 0.5f*width + W;
|
| 547 |
|
|
|
| 548 |
329d21a5
|
Leszek Koltunski
|
R = 0.05f;
|
| 549 |
673d7b24
|
Leszek Koltunski
|
S = 0.07f;
|
| 550 |
ede1b68c
|
Leszek Koltunski
|
vertices = new float[] { -X1, Y1, -X1, -Y1, X1, -Y2, X1, Y2 };
|
| 551 |
|
|
}
|
| 552 |
|
|
else
|
| 553 |
|
|
{
|
| 554 |
ed01e351
|
Leszek Koltunski
|
float Z = 0.5f;
|
| 555 |
|
|
float X1 = Z*COS54;
|
| 556 |
ede1b68c
|
Leszek Koltunski
|
float Y1 = Z*SIN54;
|
| 557 |
|
|
float X2 = Z*COS18;
|
| 558 |
|
|
float Y2 = Z*SIN18;
|
| 559 |
|
|
|
| 560 |
ed01e351
|
Leszek Koltunski
|
R = 0.10f;
|
| 561 |
673d7b24
|
Leszek Koltunski
|
S = 0.08f;
|
| 562 |
ede1b68c
|
Leszek Koltunski
|
vertices = new float[] { -X1,+Y1, -X2,-Y2, 0.0f,-Z, +X2,-Y2, +X1,+Y1 };
|
| 563 |
|
|
}
|
| 564 |
|
|
}
|
| 565 |
|
|
|
| 566 |
|
|
FactorySticker factory = FactorySticker.getInstance();
|
| 567 |
|
|
factory.drawRoundedPolygon(canvas, paint, left, top, vertices, S, FACE_COLORS[face%COLORS], R);
|
| 568 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 569 |
|
|
|
| 570 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 571 |
|
|
// PUBLIC API
|
| 572 |
|
|
|
| 573 |
|
|
public boolean isSolved()
|
| 574 |
|
|
{
|
| 575 |
|
|
int index = CUBITS[0].mQuatIndex;
|
| 576 |
|
|
|
| 577 |
|
|
for(int i=1; i<NUM_CUBITS; i++)
|
| 578 |
|
|
{
|
| 579 |
|
|
if( !thereIsNoVisibleDifference(CUBITS[i], index) ) return false;
|
| 580 |
|
|
}
|
| 581 |
|
|
|
| 582 |
|
|
return true;
|
| 583 |
|
|
}
|
| 584 |
|
|
|
| 585 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 586 |
|
|
// return if the Cubit, when rotated with its own mQuatScramble, would have looked any different
|
| 587 |
|
|
// then if it were rotated by quaternion 'quat'.
|
| 588 |
|
|
// No it is not so simple as the quats need to be the same - imagine a 4x4x4 cube where the two
|
| 589 |
|
|
// middle squares get interchanged. No visible difference!
|
| 590 |
|
|
//
|
| 591 |
|
|
// So: this is true iff the cubit
|
| 592 |
|
|
// a) is a corner or edge and the quaternions are the same
|
| 593 |
|
|
// b) is inside one of the faces and after rotations by both quats it ends up on the same face.
|
| 594 |
|
|
|
| 595 |
|
|
private boolean thereIsNoVisibleDifference(Cubit cubit, int quatIndex)
|
| 596 |
|
|
{
|
| 597 |
|
|
if ( cubit.mQuatIndex == quatIndex ) return true;
|
| 598 |
|
|
|
| 599 |
|
|
int belongsToHowManyFaces = 0;
|
| 600 |
|
|
int lastLayer = getNumLayers()-1;
|
| 601 |
|
|
float row;
|
| 602 |
|
|
final float MAX_ERROR = 0.01f;
|
| 603 |
|
|
|
| 604 |
|
|
for(int i=0; i<NUM_AXIS; i++)
|
| 605 |
|
|
{
|
| 606 |
|
|
row = cubit.mRotationRow[i];
|
| 607 |
|
|
if( (row <MAX_ERROR && row >-MAX_ERROR) ||
|
| 608 |
|
|
(row-lastLayer<MAX_ERROR && row-lastLayer>-MAX_ERROR) ) belongsToHowManyFaces++;
|
| 609 |
|
|
}
|
| 610 |
|
|
|
| 611 |
|
|
switch(belongsToHowManyFaces)
|
| 612 |
|
|
{
|
| 613 |
|
|
case 0 : return true ; // 'inside' cubit that does not lie on any face
|
| 614 |
|
|
case 1 : // cubit that lies inside one of the faces
|
| 615 |
|
|
Static3D orig = cubit.getOrigPosition();
|
| 616 |
|
|
Static4D quat1 = QUATS[quatIndex];
|
| 617 |
|
|
Static4D quat2 = QUATS[cubit.mQuatIndex];
|
| 618 |
|
|
|
| 619 |
|
|
Static4D cubitCenter = new Static4D( orig.get0(), orig.get1(), orig.get2(), 0);
|
| 620 |
|
|
Static4D rotated1 = RubikSurfaceView.rotateVectorByQuat( cubitCenter, quat1 );
|
| 621 |
|
|
Static4D rotated2 = RubikSurfaceView.rotateVectorByQuat( cubitCenter, quat2 );
|
| 622 |
|
|
|
| 623 |
|
|
float row1, row2;
|
| 624 |
|
|
float x1 = rotated1.get0();
|
| 625 |
|
|
float y1 = rotated1.get1();
|
| 626 |
|
|
float z1 = rotated1.get2();
|
| 627 |
|
|
float x2 = rotated2.get0();
|
| 628 |
|
|
float y2 = rotated2.get1();
|
| 629 |
|
|
float z2 = rotated2.get2();
|
| 630 |
|
|
|
| 631 |
|
|
for(int i=0; i<NUM_AXIS; i++)
|
| 632 |
|
|
{
|
| 633 |
|
|
row1 = computeRow(x1,y1,z1,i);
|
| 634 |
|
|
row2 = computeRow(x2,y2,z2,i);
|
| 635 |
|
|
|
| 636 |
|
|
if( (row1==0 && row2==0) || (row1==lastLayer && row2==lastLayer) ) return true;
|
| 637 |
|
|
}
|
| 638 |
|
|
return false;
|
| 639 |
|
|
|
| 640 |
|
|
default: return false; // edge or corner
|
| 641 |
|
|
}
|
| 642 |
|
|
}
|
| 643 |
|
|
|
| 644 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 645 |
|
|
|
| 646 |
|
|
public int getObjectName(int numLayers)
|
| 647 |
|
|
{
|
| 648 |
|
|
if( numLayers==3 ) return R.string.minx3;
|
| 649 |
|
|
if( numLayers==5 ) return R.string.minx4;
|
| 650 |
|
|
|
| 651 |
|
|
return 0;
|
| 652 |
|
|
}
|
| 653 |
|
|
|
| 654 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 655 |
|
|
|
| 656 |
|
|
public int getInventor(int numLayers)
|
| 657 |
|
|
{
|
| 658 |
|
|
if( numLayers==3 ) return R.string.minx3_inventor;
|
| 659 |
|
|
if( numLayers==5 ) return R.string.minx4_inventor;
|
| 660 |
|
|
|
| 661 |
|
|
return 0;
|
| 662 |
|
|
}
|
| 663 |
|
|
|
| 664 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 665 |
|
|
|
| 666 |
|
|
public int getComplexity(int numLayers)
|
| 667 |
|
|
{
|
| 668 |
|
|
if( numLayers==3 ) return 4;
|
| 669 |
|
|
|
| 670 |
|
|
return 5;
|
| 671 |
|
|
}
|
| 672 |
|
|
}
|